Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304ev |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3552681209308987392 = 214 · 310 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32612113,71693871985] |
[a1,a2,a3,a4,a6] |
Generators |
[249755196168:-2763266653:75686967] |
Generators of the group modulo torsion |
j |
1989996724085074000/1843096437 |
j-invariant |
L |
6.4983067828958 |
L(r)(E,1)/r! |
Ω |
0.20914008945895 |
Real period |
R |
15.53577520148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999261227 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304cs2 30576z2 17472cr2 |
Quadratic twists by: -4 8 -7 |